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A practical advanced analysis of semi-rigid space frame is developed. Herein, the nonlinear behavior of beam-to-column connections is discussed, and practical modeling of these connections is introduced. The proposed analysis can predict accurately the combined nonlinear effects of connection, geometry, and material on the behavior and strength of semi-rigid frames. Kishi–Chen power model is used to describe the nonlinear behavior of semi-rigid connections. Stability functions are used to capture second-order effects associated with P-δ and P-Δ effects. The column research council tangent modulus and a parabolic function for gradual yielding are used to represent material nonlinearity. The load–displacements predicted by the proposed analysis compare well with those available experiments. A case study has been performed for a four story semi-rigid frame.